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＜電子ブック＞
Nonlocal Diffusion and Applications / by Claudia Bucur, Enrico Valdinoci
(Lecture Notes of the Unione Matematica Italiana. ISSN:18629121 ; 20)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2016
大きさ	XII, 155 p. 26 illus., 23 illus. in color : online resource
著者標目	*Bucur, Claudia author Valdinoci, Enrico author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Mathematical analysis LCSH:Functional analysis FREE:Differential Equations FREE:Calculus of Variations and Optimization FREE:Integral Transforms and Operational Calculus FREE:Functional Analysis
一般注記	Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrödinger equations are given. Furthermore, an example of an s-harmonic function, its harmonic extension and some insight into a fractional version of a classical conjecture due to De Giorgi are presented. Although the aim is primarily to gather some introductory material concerning applications of the fractional Laplacian, some of the proofs and results are new. The work is entirely self-contained, and readers who wish to pursue related subjects of interest are invited to consult the rich bibliography for guidance HTTP:URL=https://doi.org/10.1007/978-3-319-28739-3

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